Greatest Common Factor of 5974 and 5982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 5974, 5982 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5974 and 5982 is 2.

GCF(5974,5982) = 2

GCF of 5974 and 5982

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 5974 and 5982

GCF of 5974 and 5982 is 2

Prime Factorization of 5974


2 5974
29 2987
103 103
1

Prime factors of 5974 are 2,29,103. Prime factorization of 5974 in exponential form is:

5974 = 21×291×1031

Prime Factorization of 5982


2 5982
3 2991
997 997
1

Prime factors of 5982 are 2,3,997. Prime factorization of 5982 in exponential form is:

5982 = 21×31×9971

∴ So by taking common prime factors GCF of 5974 and 5982 is 2

Greatest Common Factor of 5974 and 5982 by matching factors method

Factors of 5974

List of positive integer factors of 5974 that divides 5974 without a remainder.

1,2,29,58,103,206,2987,5974

Factors of 5982

List of positive integer factors of 5982 that divides 5982 without a remainder.

1,2,3,6,997,1994,2991,5982

Greatest Common Factor

We found the factors and prime factorization of 5974 and 5982. The biggest common factor number is the GCF number.
So the greatest common factor 5974 and 5982 is 2.

Also check out the Least Common Multiple of 5974 and 5982

Properties of GCF 5974 and 5982

(i) The GCF of 5974 and 5982 is associative

GCF of 5974 and 5982 = GCF of 5982 and 5974

Related Greatest Common Factor of 5974

Related Greatest Common Factor of 5982

Frequently Asked Questions on GCF of 5974 and 5982

1. What is the GCF of 5974 and 5982?

Answer: GCF of 5974 and 5982 is 2.

2. What are the Factors of 5974?

Answer: Factors of 5974 are 1, 2, 29, 58, 103, 206, 2987, 5974. There are 8 integers that are factors of 5974. The greatest factor of 5974 is 5974.

3. What are the Factors of 5982?

Answer: Factors of 5982 are 1, 2, 3, 6, 997, 1994, 2991, 5982. There are 8 integers that are factors of 5982. The greatest factor of 5982 is 5982.

4. How to Find the GCF of 5974 and 5982?

Answer:

Greatest Common Factor of 5974 and 5982 = 2

Step 1: Find the prime factorization of 5974

5974 = 2 x 29 x 103

Step 2: Find the prime factorization of 5982

5982 = 2 x 3 x 997

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 5974 and 5982 is 2